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1000122121012 = 227674397731571
BaseRepresentation
bin11101000110110111110…
…11000111101100110100
310112121111020012211000111
432203123323013230310
5112341222230333022
62043241051552404
7132153646522660
oct16433373075464
93477436184014
101000122121012
11356170956253
121419b6a5b704
1373407685cb1
14365987558a0
151b03733a477
hexe8dbec7b34

1000122121012 has 96 divisors (see below), whose sum is σ = 2038652098560. Its totient is φ = 420451827840.

The previous prime is 1000122121003. The next prime is 1000122121013. The reversal of 1000122121012 is 2101212210001.

It is a super-3 number, since 3×10001221210123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000122120983 and 1000122121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000122121013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636614187 + ... + 636615757.

It is an arithmetic number, because the mean of its divisors is an integer number (21235959360).

Almost surely, 21000122121012 is an apocalyptic number.

It is an amenable number.

1000122121012 is an abundant number, since it is smaller than the sum of its proper divisors (1038529977548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000122121012 is a wasteful number, since it uses less digits than its factorization.

1000122121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1000122121012 its reverse (2101212210001), we get a palindrome (3101334331013).

The spelling of 1000122121012 in words is "one trillion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 67 134 268 439 469 773 878 938 1546 1571 1756 1876 3073 3092 3142 5411 6146 6284 10822 10997 12292 21644 21994 29413 43988 51791 58826 103582 105257 117652 205891 207164 210514 339347 362537 411782 421028 678694 689669 725074 736799 823564 1214383 1357388 1379338 1450148 1473598 2375429 2428766 2758676 2947196 4750858 4827683 4857532 8500681 9501716 9655366 17001362 19310732 22736249 34002724 45472498 46207823 81363661 90944996 92415646 159153743 162727322 184831292 318307486 323454761 325454644 533114137 569545627 636614972 646909522 1066228274 1139091254 1293819044 2132456548 2278182508 3731798959 7463597918 14927195836 35718647179 71437294358 142874588716 250030530253 500061060506 1000122121012